{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "AIM :  to predict blood pressure (BP) — specifically Systolic (SBP) and Diastolic (DBP) — using PPG and optionally ECG signals, without using a cuff. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "IMPORTING LIBRARIES\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 156,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-20T11:30:05.777652Z",
     "iopub.status.busy": "2025-07-20T11:30:05.777099Z",
     "iopub.status.idle": "2025-07-20T11:30:05.782238Z",
     "shell.execute_reply": "2025-07-20T11:30:05.781324Z",
     "shell.execute_reply.started": "2025-07-20T11:30:05.777626Z"
    },
    "trusted": true
   },
   "outputs": [],
   "source": [
    "import numpy as np, pandas as pd, seaborn as sns\n",
    "import scipy.io\n",
    "from scipy import signal\n",
    "from scipy.fftpack import fft, dct\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "from sklearn.linear_model import LinearRegression\n",
    "from sklearn.ensemble import RandomForestRegressor\n",
    "from sklearn.model_selection import KFold, train_test_split\n",
    "from sklearn.metrics import mean_squared_error\n",
    "\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "\n",
    "from matplotlib import pyplot as plt\n",
    "import os\n",
    "\n",
    "from sklearn.svm import SVR\n",
    "from sklearn.metrics import r2_score\n",
    "\n",
    "from sklearn.ensemble import RandomForestRegressor\n",
    "from sklearn.model_selection import train_test_split, KFold\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 157,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-20T11:30:05.788890Z",
     "iopub.status.busy": "2025-07-20T11:30:05.788686Z",
     "iopub.status.idle": "2025-07-20T11:30:05.800075Z",
     "shell.execute_reply": "2025-07-20T11:30:05.799536Z",
     "shell.execute_reply.started": "2025-07-20T11:30:05.788873Z"
    },
    "trusted": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['part_4.mat',\n",
       " 'part_9.mat',\n",
       " 'part_10.mat',\n",
       " 'Samples',\n",
       " 'part_11.mat',\n",
       " 'part_3.mat',\n",
       " 'part_1.mat',\n",
       " 'part_8.mat',\n",
       " 'part_5.mat',\n",
       " 'part_6.mat',\n",
       " 'part_7.mat',\n",
       " 'part_2.mat',\n",
       " 'part_12.mat']"
      ]
     },
     "execution_count": 157,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "os.listdir('/kaggle/input/cuff-less-blood-pressure-estimation')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 158,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-20T11:30:05.801220Z",
     "iopub.status.busy": "2025-07-20T11:30:05.801010Z",
     "iopub.status.idle": "2025-07-20T11:30:10.076984Z",
     "shell.execute_reply": "2025-07-20T11:30:10.076285Z",
     "shell.execute_reply.started": "2025-07-20T11:30:05.801206Z"
    },
    "trusted": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'dict'>\n",
      "dict_keys(['__header__', '__version__', '__globals__', 'p'])\n"
     ]
    }
   ],
   "source": [
    "sample_file = scipy.io.loadmat(f'/kaggle/input/cuff-less-blood-pressure-estimation/part_1.mat')\n",
    "print(type(sample_file))  # dict\n",
    "print(sample_file.keys())  #  keys\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 159,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-20T11:30:10.078430Z",
     "iopub.status.busy": "2025-07-20T11:30:10.078170Z",
     "iopub.status.idle": "2025-07-20T11:30:14.354022Z",
     "shell.execute_reply": "2025-07-20T11:30:14.353203Z",
     "shell.execute_reply.started": "2025-07-20T11:30:10.078411Z"
    },
    "trusted": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'numpy.ndarray'>\n",
      "(1, 1000)\n"
     ]
    }
   ],
   "source": [
    "test_sample = scipy.io.loadmat(f'/kaggle/input/cuff-less-blood-pressure-estimation/part_1.mat')['p']\n",
    "\n",
    "print(type(test_sample))  # numpy array\n",
    "print(test_sample.shape)  # (1, 1000)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-20T11:30:14.355079Z",
     "iopub.status.busy": "2025-07-20T11:30:14.354836Z",
     "iopub.status.idle": "2025-07-20T11:30:14.359421Z",
     "shell.execute_reply": "2025-07-20T11:30:14.358783Z",
     "shell.execute_reply.started": "2025-07-20T11:30:14.355063Z"
    },
    "trusted": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1000\n",
      "3\n",
      "61000\n"
     ]
    }
   ],
   "source": [
    "print(len(test_sample[0]))               # 1000 records\n",
    "print(len(test_sample[0][0]))                # 3 signal rows (PPG, ABP, ECG)\n",
    "print(len(test_sample[0][0][2]))                 # Number of samples 61000\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 161,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-20T11:30:14.361491Z",
     "iopub.status.busy": "2025-07-20T11:30:14.361247Z",
     "iopub.status.idle": "2025-07-20T11:30:19.361618Z",
     "shell.execute_reply": "2025-07-20T11:30:19.360803Z",
     "shell.execute_reply.started": "2025-07-20T11:30:14.361476Z"
    },
    "trusted": true
   },
   "outputs": [],
   "source": [
    "ppg = []\n",
    "ecg = []\n",
    "bp = []\n",
    "sbp = []  # systolic\n",
    "dbp = []  # diastolic\n",
    "sample_size = 125  # 1 second  , sampling rate is 125 Hz\n",
    "\n",
    "for i in range(1000):\n",
    "    temp_mat = test_sample[0, i]\n",
    "    temp_length = temp_mat.shape[1]\n",
    "    for j in range(temp_length // sample_size):\n",
    "        temp_ecg = temp_mat[2, j*sample_size:(j+1)*sample_size]  # ECG \n",
    "        temp_bp = temp_mat[1, j*sample_size:(j+1)*sample_size]   # BP \n",
    "        temp_ppg = temp_mat[0, j*sample_size:(j+1)*sample_size]  # PPG\n",
    "\n",
    "        \n",
    "        max_value = max(temp_bp)  # SBP\n",
    "        min_value = min(temp_bp)  # DBP\n",
    "\n",
    "        ecg.append(temp_ecg)\n",
    "        bp.append(temp_bp)\n",
    "        sbp.append(max_value)\n",
    "        dbp.append(min_value)\n",
    "        ppg.append(temp_ppg)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 162,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-20T11:30:19.362595Z",
     "iopub.status.busy": "2025-07-20T11:30:19.362361Z",
     "iopub.status.idle": "2025-07-20T11:30:20.104468Z",
     "shell.execute_reply": "2025-07-20T11:30:20.103857Z",
     "shell.execute_reply.started": "2025-07-20T11:30:19.362575Z"
    },
    "trusted": true
   },
   "outputs": [],
   "source": [
    "ppg = np.array(ppg).reshape(-1, 1)\n",
    "ecg = np.array(ecg).reshape(-1, 1)\n",
    "bp = np.array(bp).reshape(-1, 1)\n",
    "sbp = np.array(sbp).reshape(-1, 1)\n",
    "dbp = np.array(dbp).reshape(-1, 1)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 163,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-20T11:30:20.105379Z",
     "iopub.status.busy": "2025-07-20T11:30:20.105159Z",
     "iopub.status.idle": "2025-07-20T11:30:20.404353Z",
     "shell.execute_reply": "2025-07-20T11:30:20.403693Z",
     "shell.execute_reply.started": "2025-07-20T11:30:20.105362Z"
    },
    "trusted": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f3c95295d90>]"
      ]
     },
     "execution_count": 163,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(3, 1)\n",
    "ax[0].plot(ppg[:125])  # 1 second of PPG\n",
    "ax[1].plot(ecg[:125])  # 1 second of ECG\n",
    "ax[2].plot(bp[:125])   # 1 second of BP\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* PPG =\tSmooth rounded waveform. Typical of photoplethysmograph (PPG) signals from the fingertip. Peaks correspond to blood volume pulses.\n",
    "* ECG\tSharp spikes =  (QRS complexes), typical of an ECG. Two clear heartbeats are visible.\n",
    "* BP (ABP) = \tClassic blood pressure waveform, with a fast rise (systolic upstroke) and slow fall (diastolic downstroke)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 164,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-20T11:30:20.405315Z",
     "iopub.status.busy": "2025-07-20T11:30:20.405071Z",
     "iopub.status.idle": "2025-07-20T11:30:20.604503Z",
     "shell.execute_reply": "2025-07-20T11:30:20.603807Z",
     "shell.execute_reply.started": "2025-07-20T11:30:20.405288Z"
    },
    "trusted": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f3c952cb810>"
      ]
     },
     "execution_count": 164,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "plt.title('SBP vs DBP graph', fontsize=16)\n",
    "plt.ylabel('Signal Value')\n",
    "plt.plot(sbp[:125])\n",
    "plt.plot(dbp[:125])\n",
    "plt.legend(['SBP', 'DBP'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "BP (Systolic BP) = Maximum pressure when the heart contracts.\n",
    "\n",
    "DBP (Diastolic BP) = Minimum pressure when the heart relaxes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 165,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-20T11:30:20.606029Z",
     "iopub.status.busy": "2025-07-20T11:30:20.605317Z",
     "iopub.status.idle": "2025-07-20T11:30:20.609561Z",
     "shell.execute_reply": "2025-07-20T11:30:20.609020Z",
     "shell.execute_reply.started": "2025-07-20T11:30:20.606011Z"
    },
    "trusted": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'numpy.ndarray'> 32061000\n",
      "<class 'numpy.ndarray'> 32061000\n"
     ]
    }
   ],
   "source": [
    "print(type(ppg), len(ppg))\n",
    "print(type(bp), len(bp))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 166,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-20T11:30:20.610335Z",
     "iopub.status.busy": "2025-07-20T11:30:20.610126Z",
     "iopub.status.idle": "2025-07-20T11:30:20.758375Z",
     "shell.execute_reply": "2025-07-20T11:30:20.757730Z",
     "shell.execute_reply.started": "2025-07-20T11:30:20.610319Z"
    },
    "trusted": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'numpy.ndarray'> 32061000\n",
      "[[67.06295517]\n",
      " [69.35862807]]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(ppg[:125].squeeze())\n",
    "print(type(bp), len(bp))\n",
    "print(bp[:2])  # preview first 2 entries\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 167,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-20T11:30:20.760727Z",
     "iopub.status.busy": "2025-07-20T11:30:20.760288Z",
     "iopub.status.idle": "2025-07-20T11:30:20.905445Z",
     "shell.execute_reply": "2025-07-20T11:30:20.904801Z",
     "shell.execute_reply.started": "2025-07-20T11:30:20.760709Z"
    },
    "trusted": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Compute cross-correlation\n",
    "cross_corr = np.convolve(ppg[:125].squeeze(), bp[:125].squeeze(), mode='full')\n",
    "\n",
    "# Plot it\n",
    "plt.figure(figsize=(10, 4))\n",
    "plt.plot(cross_corr)\n",
    "plt.title('Cross-Correlation of PPG and BP')\n",
    "plt.xlabel('Lag')\n",
    "plt.ylabel('Similarity')\n",
    "plt.grid(True)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It slides PPG across BP and checks similarity at each step.\n",
    "\n",
    "Peaks in the result show high similarity → helps find time delays or matching patterns."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 168,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-20T11:30:20.906396Z",
     "iopub.status.busy": "2025-07-20T11:30:20.906111Z",
     "iopub.status.idle": "2025-07-20T11:30:20.909918Z",
     "shell.execute_reply": "2025-07-20T11:30:20.909180Z",
     "shell.execute_reply.started": "2025-07-20T11:30:20.906365Z"
    },
    "trusted": true
   },
   "outputs": [],
   "source": [
    "def rmse(y_true, y_pred):\n",
    "    return np.sqrt(mean_squared_error(y_true, y_pred))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 169,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-20T11:30:20.911094Z",
     "iopub.status.busy": "2025-07-20T11:30:20.910662Z",
     "iopub.status.idle": "2025-07-20T11:30:21.465439Z",
     "shell.execute_reply": "2025-07-20T11:30:21.464784Z",
     "shell.execute_reply.started": "2025-07-20T11:30:20.911077Z"
    },
    "trusted": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RMSE between DCT(ppg) and BP: 92.6030\n"
     ]
    }
   ],
   "source": [
    "from scipy.fftpack import dct\n",
    "\n",
    "cosine_transformed_array = dct(ppg)\n",
    "error = rmse(bp.squeeze(), cosine_transformed_array.squeeze())\n",
    "print(f\"RMSE between DCT(ppg) and BP: {error:.4f}\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 170,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-20T11:30:21.466393Z",
     "iopub.status.busy": "2025-07-20T11:30:21.466129Z",
     "iopub.status.idle": "2025-07-20T11:30:24.086750Z",
     "shell.execute_reply": "2025-07-20T11:30:24.085891Z",
     "shell.execute_reply.started": "2025-07-20T11:30:21.466369Z"
    },
    "trusted": true
   },
   "outputs": [],
   "source": [
    "# Split into training and testing sets\n",
    "X_train, X_test, y_train, y_test = train_test_split(ppg, bp, test_size=0.30, random_state=42)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "LINEAR REG"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 171,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-20T11:30:24.087899Z",
     "iopub.status.busy": "2025-07-20T11:30:24.087637Z",
     "iopub.status.idle": "2025-07-20T11:30:32.588434Z",
     "shell.execute_reply": "2025-07-20T11:30:32.587769Z",
     "shell.execute_reply.started": "2025-07-20T11:30:24.087872Z"
    },
    "trusted": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fold 1 RMSE: 27.3494\n",
      "Fold 2 RMSE: 27.3370\n",
      "Fold 3 RMSE: 27.3344\n",
      "Fold 4 RMSE: 27.3677\n",
      "Fold 5 RMSE: 27.3323\n",
      "\n",
      "Average RMSE over 5 folds: 27.3442\n"
     ]
    }
   ],
   "source": [
    "folds = KFold(n_splits=5, shuffle=False)\n",
    "scores = []\n",
    "\n",
    "for i, (train_index, val_index) in enumerate(folds.split(X_train, y_train)):\n",
    "    train_data = X_train[train_index]\n",
    "    target = y_train[train_index]\n",
    "    validation_data = X_train[val_index]\n",
    "    val_target = y_train[val_index]\n",
    "\n",
    "    model = LinearRegression()\n",
    "    model.fit(train_data, target)\n",
    "    \n",
    "    val_predictions = model.predict(validation_data)\n",
    "    error = rmse(val_target, val_predictions)\n",
    "    scores.append(error)\n",
    "    \n",
    "    print(f'Fold {i+1} RMSE: {error:.4f}')\n",
    "\n",
    "print(f'\\nAverage RMSE over 5 folds: {np.mean(scores):.4f}')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 172,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-20T11:30:32.589553Z",
     "iopub.status.busy": "2025-07-20T11:30:32.589161Z",
     "iopub.status.idle": "2025-07-20T11:30:32.741810Z",
     "shell.execute_reply": "2025-07-20T11:30:32.741164Z",
     "shell.execute_reply.started": "2025-07-20T11:30:32.589525Z"
    },
    "trusted": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.figure(figsize=(8, 5))\n",
    "plt.plot(range(1, len(scores)+1), scores, marker='o', linestyle='--', color='b')\n",
    "plt.title(\"Fold-wise RMSE (Training Error)\")\n",
    "plt.xlabel(\"Fold Number\")\n",
    "plt.ylabel(\"RMSE\")\n",
    "plt.xticks(range(1, len(scores)+1))\n",
    "plt.grid(True)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 173,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-20T11:30:32.742802Z",
     "iopub.status.busy": "2025-07-20T11:30:32.742586Z",
     "iopub.status.idle": "2025-07-20T11:30:32.930689Z",
     "shell.execute_reply": "2025-07-20T11:30:32.930044Z",
     "shell.execute_reply.started": "2025-07-20T11:30:32.742785Z"
    },
    "trusted": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "val_target      # true BP values\n",
    "val_predictions # predicted BP values from model.predict()\n",
    "plt.figure(figsize=(10, 5))\n",
    "plt.plot(val_target[:50], label='True BP', marker='o')       # Plot first 50 samples\n",
    "plt.plot(val_predictions[:50], label='Predicted BP', marker='x')\n",
    "plt.title(\"True BP vs Predicted BP on Validation Set (Sample View)\")\n",
    "plt.xlabel(\"Sample Index\")\n",
    "plt.ylabel(\"Blood Pressure (mmHg)\")\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 174,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-20T11:30:32.931952Z",
     "iopub.status.busy": "2025-07-20T11:30:32.931468Z",
     "iopub.status.idle": "2025-07-20T11:30:33.352609Z",
     "shell.execute_reply": "2025-07-20T11:30:33.351909Z",
     "shell.execute_reply.started": "2025-07-20T11:30:32.931929Z"
    },
    "trusted": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f3c96ee3810>"
      ]
     },
     "execution_count": 174,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Visualizing train error.\n",
    "fig, ax = plt.subplots(1,2, figsize=(16,6))\n",
    "ax[0].set_title(\"Training error\")\n",
    "ax[0].set_xlabel('Number of folds')\n",
    "ax[0].set_ylabel('Error values')\n",
    "ax[0].plot(scores)\n",
    "\n",
    "# Visualize predicted BP and the True BP\n",
    "ax[1].set_title(\"True BP values Vs Predicted BP values\")\n",
    "ax[1].set_xlabel('Number of samples taken')\n",
    "ax[1].set_ylabel('BP values')\n",
    "ax[1].plot(val_target[:20]) #only plotting 100 samples\n",
    "ax[1].plot(val_predictions[:20])\n",
    "ax[1].legend(['True_BP', 'Predicted_BP'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 180,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-20T11:39:10.275572Z",
     "iopub.status.busy": "2025-07-20T11:39:10.275194Z",
     "iopub.status.idle": "2025-07-20T11:39:10.280041Z",
     "shell.execute_reply": "2025-07-20T11:39:10.279299Z",
     "shell.execute_reply.started": "2025-07-20T11:39:10.275546Z"
    },
    "trusted": true
   },
   "outputs": [],
   "source": [
    "\n",
    "def rmse(y_true, y_pred):\n",
    "    return np.sqrt(np.mean((y_true - y_pred) ** 2))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "SUPPORT VECTOR MACHINES "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 176,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-20T11:30:33.359069Z",
     "iopub.status.busy": "2025-07-20T11:30:33.358803Z",
     "iopub.status.idle": "2025-07-20T11:30:41.719729Z",
     "shell.execute_reply": "2025-07-20T11:30:41.719071Z",
     "shell.execute_reply.started": "2025-07-20T11:30:33.359042Z"
    },
    "trusted": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fold 1 RMSE: 27.5737\n",
      "Fold 2 RMSE: 27.0737\n",
      "Fold 3 RMSE: 26.9317\n",
      "Fold 4 RMSE: 27.3604\n",
      "Fold 5 RMSE: 27.3135\n",
      "\n",
      "Average RMSE over 5 folds (SVM): 27.2506\n"
     ]
    }
   ],
   "source": [
    "# Subsample to speed up SVM\n",
    "X_small = ppg[:10000]\n",
    "y_small = bp[:10000]\n",
    "\n",
    "# Split data\n",
    "X_train, X_test, y_train, y_test = train_test_split(X_small, y_small, test_size=0.30, random_state=42)\n",
    "\n",
    "# K-Fold setup\n",
    "folds = KFold(n_splits=5, shuffle=True, random_state=42)\n",
    "scores = []\n",
    "\n",
    "# Cross-validation loop\n",
    "for i, (train_index, val_index) in enumerate(folds.split(X_train)):\n",
    "    X_fold_train = X_train[train_index]\n",
    "    y_fold_train = y_train[train_index]\n",
    "    X_fold_val = X_train[val_index]\n",
    "    y_fold_val = y_train[val_index]\n",
    "\n",
    "    # SVM model\n",
    "    model = SVR(kernel='rbf', C=100, gamma='scale', epsilon=0.1)\n",
    "    model.fit(X_fold_train, y_fold_train)\n",
    "\n",
    "    # Predict and evaluate\n",
    "    y_val_pred = model.predict(X_fold_val)\n",
    "    fold_rmse = rmse(y_fold_val, y_val_pred)\n",
    "    scores.append(fold_rmse)\n",
    "\n",
    "    print(f\"Fold {i+1} RMSE: {fold_rmse:.4f}\")\n",
    "\n",
    "print(f\"\\nAverage RMSE over 5 folds (SVM): {np.mean(scores):.4f}\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "trusted": true
   },
   "outputs": [],
   "source": [
    "RANDOM FOREST"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 179,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-07-20T11:38:10.978414Z",
     "iopub.status.busy": "2025-07-20T11:38:10.977832Z",
     "iopub.status.idle": "2025-07-20T11:38:13.902594Z",
     "shell.execute_reply": "2025-07-20T11:38:13.901844Z",
     "shell.execute_reply.started": "2025-07-20T11:38:10.978388Z"
    },
    "trusted": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fold 1 RMSE: 26.41\n",
      "Fold 2 RMSE: 25.92\n",
      "Fold 3 RMSE: 25.96\n",
      "Fold 4 RMSE: 26.02\n",
      "Fold 5 RMSE: 26.22\n",
      "\n",
      "Average RMSE over 5 folds (Random Forest): 26.12\n"
     ]
    }
   ],
   "source": [
    "\n",
    "\n",
    "# Cross-validation loop\n",
    "for i, (train_index, val_idx) in enumerate(folds.split(X_train)):\n",
    "    X_fold_train = X_train[train_index]\n",
    "    y_fold_train = y_train[train_index]\n",
    "    X_fold_val = X_train[val_idx]\n",
    "    y_fold_val = y_train[val_idx]\n",
    "\n",
    "    # Random Forest Regressor\n",
    "    model = RandomForestRegressor(n_estimators=100, random_state=42)\n",
    "    model.fit(X_fold_train, y_fold_train)\n",
    "\n",
    "    # Predict & evaluate\n",
    "    y_val_pred = model.predict(X_fold_val)\n",
    "    fold_rmse = rmse(y_fold_val, y_val_pred)\n",
    "    scores.append(fold_rmse)\n",
    "\n",
    "    print(f\"Fold {i+1} RMSE: {fold_rmse:.2f}\")\n",
    "\n",
    "# Average RMSE across folds\n",
    "print(f\"\\nAverage RMSE over 5 folds (Random Forest): {np.mean(scores):.2f}\")\n"
   ]
  }
 ],
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